TY - JOUR
T1 - Entanglement of a class of non-Gaussian states in disordered harmonic oscillator systems
AU - Abdul-Rahman, Houssam
N1 - Publisher Copyright:
© 2018 Author(s).
PY - 2018/3/1
Y1 - 2018/3/1
N2 - For disordered harmonic oscillator systems over the d-dimensional lattice, we consider the problem of finding the bipartite entanglement of the uniform ensemble of the energy eigenstates associated with a particular number of modes. Such an ensemble defines a class of mixed, non-Gaussian entangled states that are labeled, by the energy of the system, in an increasing order. We develop a novel approach to find the exact logarithmic negativity of this class of states. We also prove entanglement bounds and demonstrate that the low energy states follow an area law.
AB - For disordered harmonic oscillator systems over the d-dimensional lattice, we consider the problem of finding the bipartite entanglement of the uniform ensemble of the energy eigenstates associated with a particular number of modes. Such an ensemble defines a class of mixed, non-Gaussian entangled states that are labeled, by the energy of the system, in an increasing order. We develop a novel approach to find the exact logarithmic negativity of this class of states. We also prove entanglement bounds and demonstrate that the low energy states follow an area law.
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U2 - 10.1063/1.5000708
DO - 10.1063/1.5000708
M3 - Article
AN - SCOPUS:85044280104
SN - 0022-2488
VL - 59
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
IS - 3
M1 - 031904
ER -